9c4ac7a4-a042-407b-b8ba-48e10d119e59 9 6 9 decimal

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2nd Order Type 3

UnitStep 1 ≡ UnitLinear t ≡ UnitGrow d t * exp ω * ≡ UnitDecay d t * - exp ω * ≡ Fails Dirac Integral t sqrt ≡ 51 line

t ω d q 1 :

s ω d L t ω d q t s laplace maple :

s ω d L 1 s /

s F Y0 s - m - (* Y1 - s ω d L - s 2^s m * + n + (/ (- :

Y0 Y1 m n ω t fnct s F t 0 > assume s t invlaplace maple 11 line :

Y0 0 :

Y1 0 :

m 0.5 :

n 1.5 :

d 0.5 :

ω 1 :

t f Y0 Y1 m n ω t fnct :

t f 223 sqrt * 23 sqrt 1 - t 4 / - exp t 23 sqrt * 4 / cos * + (* t 4 / - exp t 23 sqrt * 4 / sin * + (* 69 / -

x 0 ≥ ( x 10 ≤ ( & x f wild domain if

1. exp(-d*x)*ω generalised decay 2. exp(d*x)*ω generalised grow 3. ω=1 ... UnitGrow/UnitDecay 4. 'd' sets the shape

d x * exp ω * d x * - exp ω * 2 1 sys